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Cap 1 Termodinâmica q

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    Captulo 1

    Termodinmica Qumica

    Professor Osvaldo Chiavone Filho

    DEQ/UFRN

    2013.2

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    THE SCOPE OF

    THERMODYNAMICS

    The science of thermodynamics was born in the nineteenth

    century of the need to describe the operation of steam engines

    and to set forth the limits of what they can accomplish. Thus the

    name itself denotes power developed from heat, with obviousapplication to heat engines, of which the steam engine was the

    initial example. However, the principlesobserved to be valid for

    engines are readily generalized, and are known as the first and

    second laws of thermodynamics. These laws have no proof in themathematical sense; their validity lies in the absence of contrary

    experience. Thus thermodynamics shares with mechanics and

    electromagnetism a basis in primitive laws.

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    THE SCOPE OF

    THERMODYNAMICS

    These laws lead through mathematical deduction to a network of

    equationswhich find application in all branches of science and

    engineering. The chemical engineer copes with a particularlywide

    variety of problems. Among them are calculation of heat and workrequirements for physical and chemical processes, and the

    determination of equilibrium conditions for chemical reactions and

    for the transfer of chemical species between phases.

    Thermodynamic considerations do not establish the rates of chemicalor physical processes. Rates depend on driving force and resistance.

    Although driving forces are thermodynamic variables, resistances are

    not. Neither can thermodynamics, a macroscopic-property

    formulation, reveal the microscopic (molecular) mechanisms of

    physical or chemical processes.

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    THE SCOPE OF THERMODYNAMICSOn the other hand, knowledge of the microscopic behavior of matter

    can be useful in the calculation of thermodynamic properties.Property values are essential to the practical application of

    thermodynamics. The chemical engineer deals with many chemical

    species, and experimental data are often lacking. This has led to

    development of "generalized correlations that provide propertyestimates in the absence of data.

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    TYPES OF THERMODYNAMICS

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    The application of thermodynamics to any real problem starts with

    the identification of a particular body of matter as the focus ofattention. This body of matter is called the system, and its

    thermodynamic state is defined by a few measurable macroscopic

    properties. These depend on the fundamental dimensions of science,

    of which length, time, mass, temperature, and amount of substanceare of interest here.

    APPLICATION OF THERMODYNAMICS

    P = presso

    T = temperatura

    x= composio

    = densidade

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    Projeto de Processos

    (Ex. Extrao por Solvente)

    1

    2

    3

    4

    5

    67

    8

    9

    10

    11

    12

    13

    14

    15

    W1

    11

    T1

    W2

    T2

    12

    32

    W3T

    3

    13

    23

    W7

    T7

    W6

    T6

    W4

    T4

    Vd

    Ae

    W5

    T5W

    8T8

    W9

    T9

    W10

    T10

    W11

    T11

    W12

    T12

    Ac

    Ar

    W13

    T13

    W14

    T14

    W15

    T15

    14

    24

    extrato

    rafinado produto

    guagua

    vapor

    EVAPORADOREXTRATOR

    CONDENSADORRESFRIADOR

    MISTURADOR

    alimentao

    bomba

    decantador

    solvente

    condensado

    f

    f

    f

    f f

    f

    f

    f

    x11

    x14

    31

    Dimensionamento

    Simulao

    Otimizao ($)

    Anlise de Sensibilidade

    W = vazo

    T = temperaturaV = volume

    A = rea

    x= composio

    fij= fluxo comp. i

    e corrente j

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    Avano do Equilbrio Lquido-

    Vapor por Conta da Destilao

    0.00 0.20 0.40 0.60 0.80 1.00

    Frao molar de pentano

    300.0

    350.0

    400.0

    450.0

    500.0

    Temper

    atura(K)

    Lquido

    Vapor

    L + V

    Experimental

    Acima pto Crtico

    UNIQUAC

    Destilao - Gs de Cozinha T-xy C5+C12 a 100 kPa

    Planta Qumica Tpica (50% do $)

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    DIMENSIONS AND UNITS

    The fundamental dimensions are primitives, recognized through

    our sensory perceptions and not definable in terms of anything

    simpler. Their use, however, requires the definition of arbitrary

    scales of measure, divided into specific units of size. Primary unitshave been set by international agreement, and are codified as the

    International System of Units (abbreviated SI, for Systme

    International).

    Time: s (Cesium cycle)

    Length: m

    Mass: kg

    Mole: symbol mol, is defined as the amount of substance

    represented by molecules.

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    PREFIXES FOR SI UNITS

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    TEMPERATURE, K

    Termmetro a Gs Ideal

    P v = R T

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    Force, N

    Exerccio:Um astronauta pesa 730 N em Houston, Texas, onde a aceleraoda gravidade g= 9,792 m s-2. Quais so a massa e o seu peso nalua, onde g= 1,67 m s-2?

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    Pressure, Pa

    Manmetro a contrapeso

    A

    mg

    A

    FP

    Ahm

    ghA

    gAhP

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    Pressure, PaQual a presso Pdo tanque com ar indicado pela figura a seguir em

    Pa, sabendo que a presso atmosfrica igual 750 mmHg e que omanmetro de mercrio registra uma quota de 35 cm.

    760 mmHg = 101325 Pa

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    Work, Pa

    Diagrama P-V

    dlFdW

    A

    VdAPdW

    dVPdW

    2

    1

    V

    VdVPW

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    Kinetic EnergyWhen a body of mass m, acted upon by a force F, is displaced a

    distance dl during a differential interval of time dt, the work done is

    given by F dl.In combination with Newton's second law:

    dlamdW dldt

    dumdW duumdW

    22

    2

    1

    2

    22

    1

    mumuduumdW

    u

    u

    2

    2

    1muEK

    Potential EnergyIf a body of mass mis raised from an initial elevation z1to a final

    elevation z1, an upward force at least equal to the weight of the bodymust be exerted on it, and this force must move through the distance

    z2-z1. Since the weight of the body is the force of gravity on it, the

    minimum force required is given by Newton's law:

    gmamF

    )()( 1212 zzgmzzFW gzmEP

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    Energy ConservationIn any examination of physical processes, an attempt is made to find

    or to define quantities which remain constant regardless of the

    changes which occur. One such quantity, early recognized in thedevelopment of mechanics, is mass. The great utility of the law of

    conservation of mass suggests that further conservation principles

    could be of comparable value. Thus the development of the concept

    of energy logically led to the principle of its conservation inmechanical processes. If a body is given energy when it is elevated,

    then the body conserves or retains this energy until it performs the

    work of which it is capable. An elevated body, allowed to fall freely,

    gains in kinetic energy what it loses in potential energy so that its

    capacity for doing work remains unchanged. For a freely falling body

    this means that:

    0 PK EE 0

    22

    12

    2

    1

    2

    2 gmzgmzmumu

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    HeatWe know from experience that a hot object brought in contact with a

    cold object becomes cooler, whereas the cold object becomes

    warmer. A reasonable view is that something is transferred from thehot object to the cold one, and we call that something heat Q. Thus

    we say that heat always flows from a higher temperature to a lower

    one. This leads to the concept of temperature as the driving force for

    the transfer of energy as heat. More precisely, the rate of heattransfer from one body to another is proportional to the temperature

    difference between the two bodies; when there is no temperature

    difference, there is no net transfer of heat. In the thermodynamic

    sense, heat is never regarded as being stored within a body. Like

    work, it exists only as energy in transit from one body to another, or

    between a system and its surroundings. When energy in the form of

    heat is added to a body, it is stored not as heat but as kinetic and

    potential energy of the atoms and molecules making up the body.

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    HeatIn spite of the transient nature of heat, it is often viewed in relation to

    its effect on the body from which it is transferred. As a matter of fact,

    until about 1930, the definitions of units of heat were based on thetemperature changes of a unit mass of water. Thus the British thermal

    unit (commonly known as thermochemical Btu) was long defined as

    1/180thquantity of heat which when transferred to one pound mass

    of water raised its temperature from ice-point or 32 (F) to steam-point or 212 (F) at standard atmospheric pressure.. Likewise the

    calorie (commonly known as thermochemical calorie) written as (cal)

    in the book, was defined as 1/100thquantity of heat which when

    transferred to one kilogram mass of water raised its temperature

    from 0 to 100C (273.15 to 373.15 K) at standard atmospheric

    pressure. Although these definitions provide a "feel" for the size of

    heat units, they depend on experiments made with water and are

    thus subject to change as measurements become more accurate.

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    HeatIn order to recognize a common basis for all energy units,

    international steam table calorie is defined in relation to joule, the SI

    unit of energy, equal to 1 N m. Joule is the mechanical work donewhen a force of one newton acts through a distance of one meter. By

    definition, international steam table calorie is equivalent to 4.1868 J

    (exact) and thermochemical calorie is equivalent to 4.184 J (exact). By

    arithmetic, using the defined relations of US Customary and SI units,one international steam table Btu, written as (Btu) in the book, is

    equivalent to 1055.056 J as against one thermochemical Btu is

    equivalent to 1054.35 J. All other energy units are defined as

    multiples of the joule. The foot-pound force, for example, is

    equivalent to 1.355 8 179 J while the meter-kilogram force is

    equivalent to 9.806 65 J. The SI unit of power is the watt, symbol W,

    defined as energy rate of one joule per second.


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